%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CSR042+3 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:14:21 PM UTC 2026
% Result : Theorem 6.50s 4.86s
% Output : CNFRefutation 6.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 10 ( 1 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query142,conjecture,
? [X3] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X3,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query142) ).
fof(ax2_2459,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2459) ).
fof(ax2_7642,axiom,
! [X15,X16] :
( borderson(X15,X16)
=> borderson(X16,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7642) ).
fof(c_0_3,negated_conjecture,
~ ? [X3] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(X3,c_georegion_l4_x27_y64) ),
inference(assume_negation,[status(cth)],[query142]) ).
fof(c_0_4,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
inference(fof_nnf,[status(thm)],[ax2_2459]) ).
fof(c_0_5,negated_conjecture,
! [X11964] :
( mtvisible(c_tptpgeo_member7_mt)
& ~ borderson(X11964,c_georegion_l4_x27_y64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
fof(c_0_6,plain,
! [X11384,X11385] :
( ~ borderson(X11384,X11385)
| borderson(X11385,X11384) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7642])]) ).
cnf(c_0_7,plain,
( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
mtvisible(c_tptpgeo_member7_mt),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( borderson(X2,X1)
| ~ borderson(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
~ borderson(X1,c_georegion_l4_x27_y64),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : CSR042+3 : TPTP v9.2.1. Released v3.4.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.18/0.35 % Computer : n027.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Mon May 4 16:32:35 EDT 2026
% 0.18/0.35 % CPUTime :
% 0.20/0.36 % start to proof: theBenchmark
% 6.50/4.86 % Version : CSE_E---1.7
% 6.50/4.86 % Problem : theBenchmark.p
% 6.50/4.86 % SZS status Theorem for theBenchmark.p
% 6.50/4.86 % SZS output start CNFRefutation
% See solution above
% 6.50/4.87 % Total time : 4.130s
%------------------------------------------------------------------------------